All categories

3 years ago

What is the length of AC¯¯¯¯¯

Mathematics

2 answers:

Nutka1998 [239]3 years ago

5 0

Answer: AC=12 cm

Step-by-step explanation:

To solve this problem you must apply the law of sines, as you can see below:

$\frac{a}{sinA}=\frac{b}{sinB}$

Where:

a=13

A=85.2°

B=71.6°

Therefore, you must solve for b, then, you obtain that the lenght AC asked in the problem above is:

$b={sinB}*\frac{a}{sinA}\\b=\frac{sin(71.6)*13}{sin(85.2)}\\b=12$

Serggg [28]3 years ago

5 0

ANSWER
$AC=12cm$

EXPLANATION

We use the sine rule to obtain,

$\frac{AC}{ \sin(71.6 \degree) } = \frac{13}{ \sin(85.2 \degree) }$

We solve for AC to obtain,

$AC= \frac{13}{ \sin(85.2 \degree) } \times \sin(71.6 \degree)$

We simplify and round to the nearest whole number to obtain,

$AC= 12cm$

You might be interested in

Four friends drove from their homes in four different cities to a class reunion.

Lunna [17]

Answer: Tomas drive the fastest

Explanation:
60 divided by 1 = 60mph
120 divided by 3 = 40mph
84 divided by 1.2 = 70mph
75 divided by 1.5 = 50mph

4 0

3 years ago

Read 2 more answers

Can someone pls find surface area

Gwar [14]

136! Don’t forget to add “squared” after the number

7 0

3 years ago

Read 2 more answers

Which translation maps the graph of the function fx=x2 onto the function gx= x2+(-8x)+7

Olin [163]

Answer:

<h2>Shift the graph of f(x) 4 units to the right</h2><h2>and 7 units up</h2>

Step-by-step explanation:

f(x) + n - shift a graph of f(x) n units up

f(x) - n - shift a graph of f(x) n units down

f(x + n) - shift a graph of f(x) n units to the left

f(x - n) - shift a graph of f(x) n units to the right

=============================================

We have

$f(x)=x^2,\ g(x)=x^2+(-8x)+7$

Convert the equation of g(x) to the vertex formula:

$y=a(x-h)^2+k$

$g(x)=x^2+(-8x)+7\\\\g(x0=x^2-2(x)(4)+7\\\\g(x)=\underbrace{x^2-2(x)(4)+4^2}-4^2+7\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\g(x)=(x-4)^2+7=f(x-4)+7\\\\\text{shift the graph of f(x) 4 units to the right and 7 units up}$